We analyze the X-Ray emission from the supernova remnant DEM L71 using the Smoothed Particle Inference ( SPI ) technique . The high Fe abundance found appears to confirm the Type Ia origin . Our method allows us to separate the material ejected in the supernova explosion from the material swept-up by the supernova shock wave . We are able to calculate the total mass of this swept-up material to be about 228 \pm 23 M _ { \odot } . We plot the posterior distribution for the number density parameter , and create a map of the density structure within the remnant . While the observed density shows substantial variations , we find our results are generally consistent with a two-dimensional hydrodynamical model of the remnant that we have run . Assuming the ejected material arises from a Type Ia explosion , with no hydrogen present , we use the predicted yields from Type Ia models available in the literature to characterize the emitting gas . We find that the abundance of various elements match those predicted by deflagration to detonation transition ( DDT ) models . Our results , compatible with the Type Ia scenario , highlight the complexity of the remnant and the nature of the surrounding medium .